6x^2+7x-3=35

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Solution for 6x^2+7x-3=35 equation:


Simplifying
6x2 + 7x + -3 = 35

Reorder the terms:
-3 + 7x + 6x2 = 35

Solving
-3 + 7x + 6x2 = 35

Solving for variable 'x'.

Reorder the terms:
-3 + -35 + 7x + 6x2 = 35 + -35

Combine like terms: -3 + -35 = -38
-38 + 7x + 6x2 = 35 + -35

Combine like terms: 35 + -35 = 0
-38 + 7x + 6x2 = 0

Factor a trinomial.
(-19 + -6x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-19 + -6x)' equal to zero and attempt to solve: Simplifying -19 + -6x = 0 Solving -19 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -6x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -6x = 0 + 19 -6x = 0 + 19 Combine like terms: 0 + 19 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-3.166666667, 2}

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